A Non-Type (D) Linear Isometry

Orestes Bueno; Benar Fux Svaiter

Abstract

Previous constructions of non-type (D) maximal monotone operators were based on the non-type (D) operators introduced by Gossez, and the construction of such operators or the proof that they were non-type (D) were not straightforward. The aim of this paper is to present a very simple non-type (D) linear isometry.

Author information

Contact details are reproduced from the original publication and may be historical.

Orestes Bueno

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ 22460-320, Brazil

obueno@impa.br

Benar Fux Svaiter

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ 22460-320, Brazil

benar@impa.br

Keywords

Monotone operators
non-reflexive Banach spaces
type (D)

Mathematics Subject Classification

47H05, 49J52, 47N10

Suggested citation

O. Bueno, B. F. Svaiter. “A Non-Type (D) Linear Isometry.” Journal of Convex Analysis 20 (2013), No. 1, 301–305.